Electricity and Magnetism - PHYS 212 Homework 2 Problem 1: Derive Equation 23.11 of the textbook for the field Edipale in the plane that bisects an electric dipole, P Edipole & - 1 p where p is the dipole moment. a) In Fig. 1, draw the vectors that represent the electric fields E, and E- generated in point P by the charges q and -q, respectively. Draw FIG. I: The scheme for Problem I a vector that represents the dipole moment of the system, p. Which (horizontal or vertical) components of the fields E, and E- cancel each other and which components add up? Is the direction of the total field E in point I the same as the direction of p or opposite to it? b) Compute the absolute values of those components of E, and E- that do not cancel each other and use them to find the magnitude of the total electric field in point P, |El. You can use the angle O shown in the diagram, but make sure to express the final answer in terms of r, s, and q. c) Find the limit of |E| for r > s. What is the magnitude of the dipole moment p? Taking into account the directions of vectors E and p, can you reproduce Equation 23.11 of the textbook